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find all solutions of the equation in the interval[0,2π)

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cos(x +π) - cosx - 1 =0

asked Jan 22, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1 :

The trigonometric equation is image and the interval is image.

image    (Since the image function is negative in third quadrant)

image

image

The general solution of image is image, where image is an integer.

The general solution is image, where image is an integer.

If image, then image.

If image, then

image

The solutions are image and image in the interval image.

Solution:

The solutions are image and image in the interval image.

answered Jan 22, 2015 by lilly Expert
edited Jan 22, 2015 by lilly

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